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Finding the Third Proportional to 449,583.75 and 698,760

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Solution

The third proportional to 449,583.75 and 698,760 is: 1,086,039.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,583.75 : 698,760 = 698,760 : x
  2. Step 2: Convert to fraction form
    449,583.75/698,760 = 698,760/x
  3. Step 3: Cross multiply
    449,583.75x = 698,760 × 698,760
  4. Step 4: Simplify right side
    449,583.75x = 488,265,537,600
  5. Step 5: Solve for x
    x = 488,265,537,600/449,583.75
  6. Step 6: Final answer
    x = 1,086,039.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.